Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113256bd |
Isogeny class |
Conductor |
113256 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2635776 |
Modular degree for the optimal curve |
Δ |
-2.2087411072827E+19 |
Discriminant |
Eigenvalues |
2- 3+ 2 -1 11- 13+ -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4743684,3983113332] |
[a1,a2,a3,a4,a6] |
Generators |
[1164:6210:1] |
Generators of the group modulo torsion |
j |
-90326016/169 |
j-invariant |
L |
7.1432091883466 |
L(r)(E,1)/r! |
Ω |
0.21473405798592 |
Real period |
R |
4.1581719913779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003395 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113256c1 113256f1 |
Quadratic twists by: -3 -11 |